GM(1,1)灰色模型的程序实现function GM1=fungry1(x0) %输入原始数据x0
T=input('T=');%从键盘输入从最后一个历史数据算起的第T时点
x1=zeros(1,length(x0));B=zeros(length(x0)-1,2);
yn=zeros(length(x0)-1,1);Hatx0=zeros(1,length(x0)+T);
Hatx00=zeros(1,length(x0));Hatx1=zeros(1,length(x0)+T);
epsilon=zeros(length(x0),1);omega=zeros(length(x0),1);
for i=1:length(x0)
for j=1:i
x1(i)=x1(i)+x0(j);
end
end
for i=1:length(x0)-1
B(i,1)=(-1/2)*(x1(i)+x1(i+1));
B(i,2)=1;
yn(i)=x0(i+1);
end
HatA=(inv(B'*B))*B'*yn % GM(1,1)模型参数估计
for k=1:length(x0)+T
Hatx1(k)=(x0(1)-HatA(2)/HatA(1))*exp(-HatA(1)*(k-1))+HatA(2)/HatA(1);
end
Hatx0(1)=Hatx1(1);
for k=2:length(x0)+T
Hatx0(k)=Hatx1(k)-Hatx1(k-1);%累计还原得到历史数据的模拟值
end
for i=1:length(x0) %开始模型检验
epsilon(i)=x0(i)-Hatx0(i);
omega(i)=(epsilon(i)/x0(i))*100;
end
% x0;Hatx0;epsilon;omega; %必要时去掉%得到各种数据
c=std(epsilon)/std(x0);p=0;
for i=1:length(x0)
if abs(epsilon(i)-mean(epsilon))<0.6745*std(x0)
p=p+1;
end
end
p=p/length(x0)
if p>0.95 & c<0.35
disp('The model is good,and the forecast is:'),
disp(Hatx0(length(x0)+T))
elseif p>0.85 & c<0.5
disp('The model is eligibility,and the forecast is:'),
disp(Hatx0(length(x0)+T))
elseif p>0.7 & c>0.65
disp('The model is not good,and the forecast is:'),
disp(Hatx0(length(x0)+T))
else p<=0.7 & c>0.65
disp('The model is bad and try again')
end
for i=1:length(x0)
Hatx00(i)=Hatx0(i);
end
z=1:length(x0);
plot(z,x0,'-',z,Hatx00,':') %将原始数据和模拟值画在一个图上帮助观察
text(2,x0(2),'History data: real line')
text(length(x0)/2,Hatx00(length(x0))/2,'Simulation data:broken line')
endT=input('T=');%从键盘输入从最后一个历史数据算起的第T时点????是指什么啊,请大哥们,大姐们教一下,我急用,请快,谢谢我的初始值x0=[1.620938526
0.07925621
0.052318818
0.041252502
0.021800479
0.053132975
0.089908836
0.109153219
0.079331832
0.342192598
0.099718142
0.135194823
0.109274037
0.08152013
0.067876355
0.064706843
0.055562197
0.050848544
]';